301612064 has 96 divisors (see below), whose sum is σ = 690923520. Its totient is φ = 128443392.

The previous prime is 301612063. The next prime is 301612109. The reversal of 301612064 is 460216103.

It is a happy number.

301612064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (301612063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276929 + ... + 278015.

It is an arithmetic number, because the mean of its divisors is an integer number (7197120).

Almost surely, 2^301612064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 301612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345461760).

301612064 is an abundant number, since it is smaller than the sum of its proper divisors (389311456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

301612064 is a wasteful number, since it uses less digits than its factorization.

301612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 301612064 is about 17366.9820060942. The cubic root of 301612064 is about 670.6298851058.

Adding to 301612064 its reverse (460216103), we get a palindrome (761828167).

It can be divided in two parts, 3016 and 12064, that multiplied together give a square (36385024 = 6032²).

The spelling of 301612064 in words is "three hundred one million, six hundred twelve thousand, sixty-four".